This is a document that summarized the PCA analysis performed on the RSP simulated clouds LUT. (R routine to perform this analysis:runpcaana)

read LUT and print some variable examples

## Warning: package 'kohonen' was built under R version 3.1.3
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## WARNING: Rtools is required to build R packages, but is not currently installed.
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## Please download and install Rtools 3.2 from http://cran.r-project.org/bin/windows/Rtools/ and then run find_rtools().
## Warning: package 'RCurl' was built under R version 3.1.3
## Loading required package: bitops
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##     condense
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## Attaching package: 'plyr'
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##     rename, round_any
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## Loading required package: scales
## Warning: package 'scales' was built under R version 3.1.3
## Loading required package: proto
## Warning: package 'proto' was built under R version 3.1.3
## Warning: package 'data.table' was built under R version 3.1.3
## [1] "processing NN_clouds_20150701.nc"
## [1] "file ~/R/oracles_polar_algorithm//data/NN_clouds_20150701.nc has 3 dimensions:"
## [1] "index   Size: 1349"
## [1] "waveln   Size: 7"
## [1] "viewzenith   Size: 640"
## [1] "------------------------"
## [1] "file ~/R/oracles_polar_algorithm//data/NN_clouds_20150701.nc has 8 variables:"
## [1] "float sizea[index]  Longname:A size parameter (effective radius) Missval:1e+30"
## [1] "float sizeb[index]  Longname:B size parameter (effective variance) Missval:1e+30"
## [1] "float cldtop[index]  Longname:Cloud top height Missval:1e+30"
## [1] "float cod[index]  Longname:Cloud optical depth Missval:1e+30"
## [1] "float sza[index]  Longname:Solar zenith angle Missval:1e+30"
## [1] "float azi[index]  Longname:Solar azimuth angle (from due north) Missval:1e+30"
## [1] "float ref_i[index,waveln,viewzenith]  Longname:Reflectance, (Stokes vector I) Missval:1e+30"
## [1] "float ref_q[index,waveln,viewzenith]  Longname:Q Reflectance, (Stokes vector Q) Missval:1e+30"
## [1] " file variable names:"
## [1] "sizea"  "sizeb"  "cldtop" "cod"    "sza"    "azi"    "ref_i"  "ref_q"
## [1] " file variable names:"
## [1] "sizea"  "sizeb"  "cldtop" "cod"    "sza"    "azi"    "ref_i"  "ref_q"
## [1] "variable  sizea dim:"
## [1] 1349
## [1] "variable  sizea sample data:"
## [1] 7.5 7.5 7.5 7.5 7.5 7.5
## [1] "variable  sizeb dim:"
## [1] 1349
## [1] "variable  sizeb sample data:"
## [1] 0.05 0.05 0.05 0.05 0.05 0.05
## [1] "variable  cldtop dim:"
## [1] 1349
## [1] "variable  cldtop sample data:"
## [1] 1000 1000 1000 1000 1000 1000
## [1] "variable  cod dim:"
## [1] 1349
## [1] "variable  cod sample data:"
## [1] 1 1 1 1 1 1
## [1] "variable  sza dim:"
## [1] 1349
## [1] "variable  sza sample data:"
## [1] 10.00001 10.00001 10.00001 10.00001 10.00001 10.00001
## [1] "variable  azi dim:"
## [1] 1349
## [1] "variable  azi sample data:"
## [1]  0  2  5 10 20 30
## [1] "variable  ref_i dim:"
## [1] 1349    7  640
## [1] "variable  ref_i sample data:"
## [1] 0.2634877 0.2634730 0.2633957 0.2631150 0.2619549 0.2601073
## [1] "variable  ref_q dim:"
## [1] 1349    7  640
## [1] "variable  ref_q sample data:"
## [1] -0.1171747 -0.1171856 -0.1172425 -0.1174415 -0.1181891 -0.1193412
## [1] "variable  sizea dim:"
## [1] 1349
## [1] "variable  sizea sample data:"
## [1] 7.5 7.5 7.5 7.5 7.5 7.5
## [1] "processing single col array"
## [1] "variable  sizeb dim:"
## [1] 1349
## [1] "variable  sizeb sample data:"
## [1] 0.05 0.05 0.05 0.05 0.05 0.05
## [1] "processing single col array"
## [1] "variable  cldtop dim:"
## [1] 1349
## [1] "variable  cldtop sample data:"
## [1] 1000 1000 1000 1000 1000 1000
## [1] "processing single col array"
## [1] "variable  cod dim:"
## [1] 1349
## [1] "variable  cod sample data:"
## [1] 1 1 1 1 1 1
## [1] "processing single col array"
## [1] "variable  sza dim:"
## [1] 1349
## [1] "variable  sza sample data:"
## [1] 10.00001 10.00001 10.00001 10.00001 10.00001 10.00001
## [1] "processing single col array"
## [1] "variable  azi dim:"
## [1] 1349
## [1] "variable  azi sample data:"
## [1]  0  2  5 10 20 30
## [1] "processing single col array"
## [1] "variable  ref_i dim:"
## [1] 1349    7  640
## [1] "variable  ref_i sample data:"
## [1] 0.2634877 0.2634730 0.2633957 0.2631150 0.2619549 0.2601073
## [1] "processing multiple col arrays"
## [1] "variable  ref_q dim:"
## [1] 1349    7  640
## [1] "variable  ref_q sample data:"
## [1] -0.1171747 -0.1171856 -0.1172425 -0.1174415 -0.1181891 -0.1193412
## [1] "processing multiple col arrays"
## [1] "processing computed variables"
## [1] "variable  Rp  dim:"
## [1] 1349    7  640
## [1] "variable  Rp  sample data:"
## [1] 0.1171747 0.1171856 0.1172425 0.1174415 0.1181891 0.1193412
## [1] "processing computed variables"
## [1] "variable  DoLP  dim:"
## [1] 1349    7  640
## [1] "variable  DoLP  sample data:"
## [1] 0.4447064 0.4447725 0.4451192 0.4463504 0.4511810 0.4588152
## [[1]]
## [1] 65536

Show some example curtain plots of simulated cloud LUT

1. Total reflectance (I)

subsetting reflectance (I) by lambda (n=7) and plotting curtains

##          case sizea sizeb cldtop cod      sza azi           reflectance
##       1:    1   7.5  0.05   1000   1 10.00001   0   ref_i_lambda1_vza_1
##       2:    2   7.5  0.05   1000   1 10.00001   2   ref_i_lambda1_vza_1
##       3:    3   7.5  0.05   1000   1 10.00001   5   ref_i_lambda1_vza_1
##       4:    4   7.5  0.05   1000   1 10.00001  10   ref_i_lambda1_vza_1
##       5:    5   7.5  0.05   1000   1 10.00001  20   ref_i_lambda1_vza_1
##      ---                                                               
## 6043516: 1345  20.0  0.05   2000  20 30.00000   0 ref_i_lambda7_vza_640
## 6043517: 1346  20.0  0.05   2000  20 30.00000   2 ref_i_lambda7_vza_640
## 6043518: 1347  20.0  0.05   2000  20 30.00000   5 ref_i_lambda7_vza_640
## 6043519: 1348  20.0  0.05   2000  20 30.00000  10 ref_i_lambda7_vza_640
## 6043520: 1349  20.0  0.05   2000  20 30.00000  20 ref_i_lambda7_vza_640
##              value  lambda
##       1: 0.2634877 lambda1
##       2: 0.2634730 lambda1
##       3: 0.2633957 lambda1
##       4: 0.2631150 lambda1
##       5: 0.2619549 lambda1
##      ---                  
## 6043516: 0.3229581 lambda7
## 6043517: 0.3228281 lambda7
## 6043518: 0.3221557 lambda7
## 6043519: 0.3198731 lambda7
## 6043520: 0.3111509 lambda7

subsetting reflectance (I) by lambda (n=7) and COD

subsetting reflectance (I) by lambda (n=7) and Reff

subsetting reflectance (I) by lambda (n=7) and Azimuth angle

1a. PCA on Total reflectance (I)

PCA summary

## [1] "summary of PCA for total (I) reflectance:"
## [1] "number of PC's that represent 0.99 variance:"
##                             PC1      PC2
## Standard deviation     11.47372 1.552867
## Proportion of Variance  0.96688 0.017710
## Cumulative Proportion   0.96688 0.984590

## [1] "most important PC's sdev:"
## [1] 11.473718  1.552867
## [1] "sample data rotation on PC space with VZA = 140"
##                               PC1          PC2
## ref_i_lambda1_vza_140 0.014782338 -0.002222145
## ref_i_lambda2_vza_140 0.016267666 -0.003531270
## ref_i_lambda3_vza_140 0.017596936 -0.004200948
## ref_i_lambda4_vza_140 0.018386640 -0.004091794
## ref_i_lambda5_vza_140 0.018926799 -0.002710358
## ref_i_lambda6_vza_140 0.014410177  0.015145155
## ref_i_lambda7_vza_140 0.009775086  0.027884634

PCA plots

##                        vars  PC      value  lambda
##    1:   ref_i_lambda1_vza_1 PC1 0.01017491 lambda1
##    2:   ref_i_lambda1_vza_2 PC1 0.01023217 lambda1
##    3:   ref_i_lambda1_vza_3 PC1 0.01028944 lambda1
##    4:   ref_i_lambda1_vza_4 PC1 0.01034670 lambda1
##    5:   ref_i_lambda1_vza_5 PC1 0.01040397 lambda1
##   ---                                             
## 8956: ref_i_lambda7_vza_636 PC2 0.03731711 lambda7
## 8957: ref_i_lambda7_vza_637 PC2 0.03741602 lambda7
## 8958: ref_i_lambda7_vza_638 PC2 0.03751493 lambda7
## 8959: ref_i_lambda7_vza_639 PC2 0.03761383 lambda7
## 8960: ref_i_lambda7_vza_640 PC2 0.03771274 lambda7

total reflectance by PC space

2. Polarized Reflectance (Rp = sqrt(Q^2))

subsetting Rp by lambda (n=7) and plotting curtains

##          case sizea sizeb cldtop cod      sza azi        reflectance
##       1:    1   7.5  0.05   1000   1 10.00001   0   Rp_lambda1_vza_1
##       2:    2   7.5  0.05   1000   1 10.00001   2   Rp_lambda1_vza_1
##       3:    3   7.5  0.05   1000   1 10.00001   5   Rp_lambda1_vza_1
##       4:    4   7.5  0.05   1000   1 10.00001  10   Rp_lambda1_vza_1
##       5:    5   7.5  0.05   1000   1 10.00001  20   Rp_lambda1_vza_1
##      ---                                                            
## 6043516: 1345  20.0  0.05   2000  20 30.00000   0 Rp_lambda7_vza_640
## 6043517: 1346  20.0  0.05   2000  20 30.00000   2 Rp_lambda7_vza_640
## 6043518: 1347  20.0  0.05   2000  20 30.00000   5 Rp_lambda7_vza_640
## 6043519: 1348  20.0  0.05   2000  20 30.00000  10 Rp_lambda7_vza_640
## 6043520: 1349  20.0  0.05   2000  20 30.00000  20 Rp_lambda7_vza_640
##                value  lambda
##       1: 0.117174663 lambda1
##       2: 0.117185555 lambda1
##       3: 0.117242455 lambda1
##       4: 0.117441490 lambda1
##       5: 0.118189074 lambda1
##      ---                    
## 6043516: 0.006922356 lambda7
## 6043517: 0.006889263 lambda7
## 6043518: 0.006720696 lambda7
## 6043519: 0.006188776 lambda7
## 6043520: 0.005069436 lambda7

2a. PCA on Polarized reflectance (Rp)

PCA summary

## [1] "summary of PCA for Polarized reflectance (Rp):"
## [1] "number of PC's that represent 0.99 variance:"
##                            PC1       PC2       PC3       PC4      PC5
## Standard deviation     0.64070 0.4714032 0.3160951 0.2012885 0.156457
## Proportion of Variance 0.45502 0.2463200 0.1107500 0.0449100 0.027130
## Cumulative Proportion  0.45502 0.7013400 0.8120900 0.8570000 0.884140
##                              PC6       PC7       PC8        PC9       PC10
## Standard deviation     0.1437283 0.1303216 0.1117968 0.09312144 0.08738271
## Proportion of Variance 0.0229000 0.0188300 0.0138500 0.00961000 0.00846000
## Cumulative Proportion  0.9070300 0.9258600 0.9397100 0.94933000 0.95779000
##                              PC11       PC12       PC13       PC14
## Standard deviation     0.07989678 0.06828985 0.06281017 0.05958943
## Proportion of Variance 0.00708000 0.00517000 0.00437000 0.00394000
## Cumulative Proportion  0.96487000 0.97004000 0.97441000 0.97834000
##                              PC15       PC16       PC17       PC18
## Standard deviation     0.04917577 0.04546854 0.03906783 0.03731366
## Proportion of Variance 0.00268000 0.00229000 0.00169000 0.00154000
## Cumulative Proportion  0.98102000 0.98332000 0.98501000 0.98655000
##                              PC19       PC20
## Standard deviation     0.03626214 0.03202655
## Proportion of Variance 0.00146000 0.00114000
## Cumulative Proportion  0.98801000 0.98915000

## [1] "most important PC's sdev:"
##  [1] 0.64070004 0.47140320 0.31609506 0.20128852 0.15645695 0.14372832
##  [7] 0.13032158 0.11179679 0.09312144 0.08738271 0.07989678 0.06828985
## [13] 0.06281017 0.05958943 0.04917577 0.04546854 0.03906783 0.03731366
## [19] 0.03626214 0.03202655
## [1] "sample data rotation on PC space with VZA = 140"
##                             PC1          PC2          PC3           PC4
## Rp_lambda1_vza_140 -0.017522510 -0.003848304 0.0001060429  0.0051570234
## Rp_lambda2_vza_140 -0.014904247 -0.003438033 0.0003854994  0.0024755397
## Rp_lambda3_vza_140 -0.012441636 -0.003060451 0.0009232139  0.0010889801
## Rp_lambda4_vza_140 -0.010518289 -0.003151284 0.0010686383  0.0015478473
## Rp_lambda5_vza_140 -0.007859192 -0.002792449 0.0014015176 -0.0006187643
## Rp_lambda6_vza_140 -0.004481103 -0.003759145 0.0030529386 -0.0054049701
## Rp_lambda7_vza_140 -0.001950594 -0.001840152 0.0028868040 -0.0022480613
##                              PC5         PC6           PC7           PC8
## Rp_lambda1_vza_140  0.0001905565 -0.01104022 -0.0071842613 -0.0050054149
## Rp_lambda2_vza_140  0.0021657194 -0.01489962 -0.0046450996 -0.0034082476
## Rp_lambda3_vza_140  0.0014429995 -0.02093147 -0.0009913723 -0.0044392261
## Rp_lambda4_vza_140  0.0016938061 -0.02780078  0.0045958950 -0.0008796750
## Rp_lambda5_vza_140 -0.0036312889 -0.01925315  0.0058836988 -0.0007855336
## Rp_lambda6_vza_140 -0.0045341934  0.04320325 -0.0030760470 -0.0050404731
## Rp_lambda7_vza_140 -0.0061233724  0.03422672  0.0002391435  0.0012888644
##                             PC9         PC10         PC11         PC12
## Rp_lambda1_vza_140 -0.001965610  0.005604282  0.017490064 -0.012830940
## Rp_lambda2_vza_140  0.003068599  0.002397748  0.019745115 -0.016672522
## Rp_lambda3_vza_140  0.004400533 -0.001937114  0.019989845 -0.016122952
## Rp_lambda4_vza_140  0.003340147 -0.005634428  0.005219416 -0.018332741
## Rp_lambda5_vza_140  0.001543362 -0.009715388 -0.012810493 -0.005452900
## Rp_lambda6_vza_140  0.011088519 -0.006910806  0.004944261  0.004186598
## Rp_lambda7_vza_140  0.003312636 -0.016637229  0.004044170  0.004229350
##                            PC13         PC14         PC15         PC16
## Rp_lambda1_vza_140  0.017663835 -0.018407191 -0.003636992  0.006901258
## Rp_lambda2_vza_140  0.025786107 -0.019199705 -0.004309210  0.005527081
## Rp_lambda3_vza_140  0.019895083 -0.009989173 -0.002435173  0.001058991
## Rp_lambda4_vza_140 -0.009649026  0.011709646 -0.002878340 -0.004741615
## Rp_lambda5_vza_140 -0.066618391  0.041558707  0.010405370 -0.013090943
## Rp_lambda6_vza_140 -0.035545606  0.014540703 -0.001296554  0.001458236
## Rp_lambda7_vza_140 -0.023053114  0.010394593  0.015914739  0.005424229
##                            PC17          PC18          PC19          PC20
## Rp_lambda1_vza_140 -0.016899542 -0.0088332835 -0.0016678131 -0.0020800631
## Rp_lambda2_vza_140 -0.022149887 -0.0060527584 -0.0027920301  0.0009309976
## Rp_lambda3_vza_140 -0.026566701 -0.0065196215 -0.0070619475  0.0034960050
## Rp_lambda4_vza_140 -0.015558552 -0.0008640147 -0.0016248054  0.0047509235
## Rp_lambda5_vza_140  0.023387958  0.0069282575  0.0083433292  0.0044026760
## Rp_lambda6_vza_140  0.022043575  0.0032197887  0.0009026066  0.0030758608
## Rp_lambda7_vza_140  0.009522467 -0.0021835609 -0.0009938984  0.0088179412

PCA plots

##                      vars   PC        value  lambda
##     1:   Rp_lambda1_vza_1  PC1 -0.034823771 lambda1
##     2:   Rp_lambda1_vza_2  PC1 -0.033388598 lambda1
##     3:   Rp_lambda1_vza_3  PC1 -0.031953426 lambda1
##     4:   Rp_lambda1_vza_4  PC1 -0.030518254 lambda1
##     5:   Rp_lambda1_vza_5  PC1 -0.029083081 lambda1
##    ---                                             
## 89596: Rp_lambda7_vza_636 PC20  0.003467964 lambda7
## 89597: Rp_lambda7_vza_637 PC20  0.003430239 lambda7
## 89598: Rp_lambda7_vza_638 PC20  0.003376252 lambda7
## 89599: Rp_lambda7_vza_639 PC20  0.003318060 lambda7
## 89600: Rp_lambda7_vza_640 PC20  0.003256810 lambda7

polarized reflectance by PC space

3. Degree of Linear Polarization (DoLP = sqrt(Q^2))/I)

subsetting DoLP by lambda (n=7) and plotting curtains

##          case sizea sizeb cldtop cod      sza azi          reflectance
##       1:    1   7.5  0.05   1000   1 10.00001   0   DoLP_lambda1_vza_1
##       2:    2   7.5  0.05   1000   1 10.00001   2   DoLP_lambda1_vza_1
##       3:    3   7.5  0.05   1000   1 10.00001   5   DoLP_lambda1_vza_1
##       4:    4   7.5  0.05   1000   1 10.00001  10   DoLP_lambda1_vza_1
##       5:    5   7.5  0.05   1000   1 10.00001  20   DoLP_lambda1_vza_1
##      ---                                                              
## 6043516: 1345  20.0  0.05   2000  20 30.00000   0 DoLP_lambda7_vza_640
## 6043517: 1346  20.0  0.05   2000  20 30.00000   2 DoLP_lambda7_vza_640
## 6043518: 1347  20.0  0.05   2000  20 30.00000   5 DoLP_lambda7_vza_640
## 6043519: 1348  20.0  0.05   2000  20 30.00000  10 DoLP_lambda7_vza_640
## 6043520: 1349  20.0  0.05   2000  20 30.00000  20 DoLP_lambda7_vza_640
##               value  lambda
##       1: 0.44470639 lambda1
##       2: 0.44477253 lambda1
##       3: 0.44511915 lambda1
##       4: 0.44635039 lambda1
##       5: 0.45118105 lambda1
##      ---                   
## 6043516: 0.02143422 lambda7
## 6043517: 0.02134034 lambda7
## 6043518: 0.02086164 lambda7
## 6043519: 0.01934760 lambda7
## 6043520: 0.01629253 lambda7

subsetting DoLP by lambda (n=7) and COD

subsetting DoLP by lambda (n=7) and Reff

subsetting DoLP by lambda (n=7) and Azimuth angle

3a. PCA on Degree of linear polarization (DoLP)

PCA summary

## [1] "summary of PCA for DoLP:"
## [1] "number of PC's that represent 0.99 variance:"
##                             PC1      PC2      PC3       PC4       PC5
## Standard deviation     5.340889 2.656646 1.586771 0.8866456 0.6704982
## Proportion of Variance 0.686100 0.169760 0.060560 0.0189100 0.0108100
## Cumulative Proportion  0.686100 0.855850 0.916410 0.9353200 0.9461300
##                              PC6       PC7      PC8       PC9      PC10
## Standard deviation     0.6461746 0.5642162 0.527823 0.4598133 0.3972724
## Proportion of Variance 0.0100400 0.0076600 0.006700 0.0050900 0.0038000
## Cumulative Proportion  0.9561800 0.9638300 0.970530 0.9756200 0.9794200
##                             PC11      PC12      PC13      PC14      PC15
## Standard deviation     0.3246901 0.3187232 0.3068874 0.2645914 0.2443863
## Proportion of Variance 0.0025400 0.0024400 0.0022700 0.0016800 0.0014400
## Cumulative Proportion  0.9819500 0.9843900 0.9866600 0.9883400 0.9897800

## [1] "most important PC's sdev:"
##  [1] 5.3408887 2.6566461 1.5867708 0.8866456 0.6704982 0.6461746 0.5642162
##  [8] 0.5278230 0.4598133 0.3972724 0.3246901 0.3187232 0.3068874 0.2645914
## [15] 0.2443863
## [1] "sample data rotation on PC space with VZA = 140"
##                               PC1          PC2          PC3           PC4
## DoLP_lambda1_vza_140 -0.003278391 -0.013338933 -0.002689673 -0.0036474037
## DoLP_lambda2_vza_140 -0.003805271 -0.013872688 -0.002771832 -0.0029547146
## DoLP_lambda3_vza_140 -0.004102361 -0.014394168 -0.002835032 -0.0012778368
## DoLP_lambda4_vza_140 -0.004198328 -0.013816511 -0.003699108  0.0013053574
## DoLP_lambda5_vza_140 -0.004257772 -0.010637554 -0.004329285 -0.0007822416
## DoLP_lambda6_vza_140 -0.004648121 -0.007144787 -0.006788056 -0.0153028500
## DoLP_lambda7_vza_140 -0.004171260 -0.003625122 -0.002922232 -0.0107596570
##                               PC5          PC6          PC7          PC8
## DoLP_lambda1_vza_140  0.004724829 -0.001993265 -0.004129317 -0.010203199
## DoLP_lambda2_vza_140  0.007623034 -0.005222798 -0.007104072 -0.009568091
## DoLP_lambda3_vza_140  0.014543207 -0.011193667 -0.008765989 -0.009175001
## DoLP_lambda4_vza_140  0.024836271 -0.017970328 -0.004800820 -0.012873435
## DoLP_lambda5_vza_140  0.015848280 -0.018350437  0.004947381 -0.007885042
## DoLP_lambda6_vza_140 -0.040158830  0.021127306  0.009322353  0.028394572
## DoLP_lambda7_vza_140 -0.030929761  0.020026069  0.010689546  0.024690201
##                                PC9          PC10         PC11         PC12
## DoLP_lambda1_vza_140  0.0060424368  0.0042911509  0.010875612 -0.002879173
## DoLP_lambda2_vza_140  0.0020117678  0.0003630089  0.014921095 -0.007225222
## DoLP_lambda3_vza_140 -0.0042791882  0.0002508327  0.015201546 -0.005524545
## DoLP_lambda4_vza_140 -0.0104992897 -0.0033687299 -0.015193177  0.001846259
## DoLP_lambda5_vza_140 -0.0127217540  0.0071331781 -0.057166649  0.027480302
## DoLP_lambda6_vza_140 -0.0029847967  0.0078305491 -0.008313100  0.014349606
## DoLP_lambda7_vza_140  0.0000946789  0.0034020636 -0.003559903  0.027669107
##                              PC13         PC14         PC15
## DoLP_lambda1_vza_140  0.007053612 -0.012669736  0.007648119
## DoLP_lambda2_vza_140  0.015229216 -0.017362430  0.007107384
## DoLP_lambda3_vza_140  0.016669194 -0.021483545  0.002182318
## DoLP_lambda4_vza_140 -0.007445787 -0.017958109 -0.007128668
## DoLP_lambda5_vza_140 -0.070012775  0.003254592 -0.014918609
## DoLP_lambda6_vza_140 -0.047009933 -0.013162646 -0.005461758
## DoLP_lambda7_vza_140 -0.021942509 -0.009989280 -0.001053359

PCA plots

##                        vars   PC        value  lambda
##     1:   DoLP_lambda1_vza_1  PC1 -0.011439571 lambda1
##     2:   DoLP_lambda1_vza_2  PC1 -0.011431089 lambda1
##     3:   DoLP_lambda1_vza_3  PC1 -0.011421716 lambda1
##     4:   DoLP_lambda1_vza_4  PC1 -0.011411446 lambda1
##     5:   DoLP_lambda1_vza_5  PC1 -0.011400275 lambda1
##    ---                                               
## 67196: DoLP_lambda7_vza_636 PC15 -0.004144798 lambda7
## 67197: DoLP_lambda7_vza_637 PC15 -0.004139530 lambda7
## 67198: DoLP_lambda7_vza_638 PC15 -0.004098064 lambda7
## 67199: DoLP_lambda7_vza_639 PC15 -0.004053079 lambda7
## 67200: DoLP_lambda7_vza_640 PC15 -0.004006749 lambda7

DoLP by PC space